Editors in Chief : Adelina Georgescu, Professor, Ilie Burdujan, Professor, Member of Academy of Romanian University of Agricultural Sciences and Veterinary Scientists, 54, Splaiul Medicine Independentei, 050094, Bucharest, “Ion Ionescu de la Brad” Iaşi ROMANIA Mihail Sadoveanu, 3, 700490 Iaşi, ROMANIA Editorial Board: Nuri Aksel, Professor, Dumitru Botnaru, Professor, Faculty of Applied Sciences, Chair of Superior Mathematics, Department of Applied Mechanics Technical University of Moldova, and Fluid Dynamics, Bv. Stefan cel Mare, 168, MD 2004, University of Bayreuth, D‐95440 Chişinău, REPUBLIC OF MOLDOVA Bayreuth, GERMANY Tassos Bountis, Professor , Mitrofan Choban, Professor, Centre for Research and Applications of Nonlinear Member of Academy of Sciences of Moldova, Systems and Department of Mathematics, University of State University of Tiraspol, Iablocikin, 5, MD 2069, Patras, 26500, Patras, GREECE Chişinău, REPUBLIC OF MOLDOVA Sanda Cleja‐Țigoiu, Professor, Constantin Fetecău, Professor, Faculty of Mathematics and Computer Science, Faculty of Mechanical Engineering, University of Bucharest, Academiei, 14, 010014, The Gh. Asachi Technical University of Iaşi, Bucharest, ROMANIA Bv. Dimitrie Mangeron, 61‐63, 700050, Iaşi, ROMANIA Anca Veronica Ion, Senior Researcher Peter Knabner, Professor, Institute of Mathematical Statistics and Applied Chair for Applied Mathematics, Faculty of Science, Mathematics of The Romanian Academy, Friedrich Alexander University Calea 13 Septembrie, 13, 050711, Erlangen‐Nuremberg, Martensstr. 3, 91058, Erlangen, Bucharest, ROMANIA GERMANY Boris V. Loginov, Professor, Nenad Mladenovici, Professor, Faculty of Natural Sciences, Ulyanovsk State Technical Mathematical Sciences, John Crank 210, University, Severny Venetz, 32, 432027, Brunel University, Uxbridge, UB8 3PH, Ulyanovsk, RUSSIA UNITED KINGDOM Toader Morozan, Senior Researcher, Emilia Petrişor, Professor, Institute of Mathematics Simion Stoilow of The Romanian Department of Mathematics, Academy, Calea Griviței, 21, 010702, University Politehnica of Timişoara, Bucharest, ROMANIA Victoriei Square, 2, 300006, Timişoara, ROMANIA Mihail Popa, Professor, Senior Researcher, Kumbakonam Rajagopal, Professor, Institute of Mathematics and Computer Science of The Department of Mathematics, Academy of Sciences of Moldova, Academiei, 5, MD 2028, Texas A&M University, Chişinău, REPUBLIC OF MOLDOVA Mailstop 3368, College Station, TX 77843‐3368, UNITED STATES OF AMERICA Mefodie Rațiu, Professor, Senior Researcher, Mirela Ştefănescu, Professor, Institute of Mathematics and Computer Science of The Faculty of Mathematics and Computer Science, Academy of Sciences of Moldova, Academiei, 5, MD 2028, Ovidius University, Bv. Mamaia, 124, 900527, Chişinău, REPUBLIC OF MOLDOVA Constanța, ROMANIA Nicolae Suciu, Senior Researcher, Kiyoyuki Tchizawa, Professor, Tiberiu Popoviciu Institute of Numerical Analysis, Kanrikogaku Kenkyusho, Ltd., P.O. Box 68‐1, 400110, 2‐2‐2 Sotokanda, Chiyoda‐ku, 101‐0021, Cluj‐Napoca, ROMANIA Tokyo, JAPAN Vladilen A. Trenogin, Professor, Constantin Vârsan, Senior Researcher, Moscow Institute of Steel and Alloys, Institute of Mathematics Simion Stoilow of The Romanian B‐49, Leninsky Prospect, 4, 119049, Academy, Calea Griviței, 21, 010702, Moscow, RUSSIA Bucharest, ROMANIA In memoriam Adelina Georgescu April 25, 1942 – May 1, 2010 i ii Am cunoscut pe marea noastră matematiciană Profesor Dr. Adelina Georgescu şi am admirat-o din inimă atât pentru importanta creaţie ştiinţifică şi frumoasa activitate didactică, cât şi pentru energia inepuizabilă cu care a luptat pentru neamul românesc. Cu negrăită emoţie îmi amintesc tot ce a reuşit pentru unitatea noastră, de la primele manifestări de după 1989, Sesiuni ştiinţifice organizate în 1991-1992 şi în continuare, pentru matematicienii români de la răsărit şi apus de Prut şi lupta pentru o cât mai strânsă colaborare între ei. Spiritul de iniţiativă şi talentul deosebit de organizare stau la temelia importantei Societăţi ROMAI, pe care a creat-o în 1992 şi a seriei de Conferinţe Internaţionale CAIM iniţiată în 1993, care a ajuns în 2010 la cea de a 18-a ediţie. Doresc ca această Societate să rodească mai departe pentru înflorirea matematicii în România şi peste hotare, mai ales în Republica Moldova. La aceste minunate realizări se adaugă cei doi fii Andrei şi Sergiu Moroianu, pe care i-a crescut în dragoste pentru matematică şi care sunt astăzi la rândul lor creatori de renume internaţional în această ştiinţă şi totodată întemeietori de rodnice familii. Li se adaugă doctorii în ştiinţe matematice precum şi alţi tineri călăuziţi de Doamna Profesor pe căile acestei ştiinţe. Retrăind amintiri despre Adelina, gândul mă duce la Doamna Oltea, mama lui Ştefan cel Mare, simbol al femeii române luptând pentru dreptatea şi înflorirea României. Fie ca tradiţia făurită de Doamna Profesor Adelina Georgescu să fie continuată şi dezvoltată strălucit şi mai departe! Prof. univ. Cabiria Andreian Cazacu Cuvant tinut in cadrul CAIM 2010 la Iasi, la lansarea cartii Matematica si viata, scrisa de Adelina Georgescu si Lucia Dragotescu. iii I have known our great mathematician Professor Adelina Georgescu, and I admired her from all my heart both for her important scientific creation and for the beautiful didactical activity as well as for the inexhaustible energy with which she fought for the Romanian people. With unspeakable emotion I remember all she managed to do for our unity, from the first manifestations after 1989, the sessions organized in 1991-1992, and after, mainly for the Romanian mathematicians from the East and West of Prut and the fight for their close collaboration. Her vivid spirit and organizing talent lie at the base of the important Mathematical Society ROMAI, which she founded in 1992, and of the series of Conferences on Applied and Industrial Mathematics (CAIM) that she initiated in 1993, and that reached in 2010 the 18th edition. I wish that this Society to be also fruitful from now on, for the flourishing of the mathematics from Romania and abroad, especially from Republic of Moldova. To this wonderful achievements we must add her two sons, Andrei and Sergiu Moroianu, that she grew up in the spirit of love for mathematics and that are now, at their turn, well-known mathematicians and also heads of beautiful families. To them we must add the doctors in mathematics and many other young persons that were lead by Professor Adelina Georgescu on the ways of this science. While reminding Adelina, the thought takes me to Doamna Oltea, mother of Stephen the Great, the symbol of Romanian women fighting for justice and for the flourishing of our country, Romania. Let the tradition developed by Professor Adelina Georgescu be brightly continued and developed further! Professor Cabiria Andreian Cazacu. Speech held by Professor Cabiria Andreian Cazacu, at CAIM 2010, in Iasi, when the book Mathematics and Life, written by Adelina Georgescu and Lucia Dragotescu was launched. iv A life dedicated to the whole "Knowledge" Liliana RESTUCCIA Department of Mathematics, University of Messina, Italy Considerate la vostra semenza: fatti non foste a viver come bruti, ma per seguir virtute e conoscenza. (Dante Alighieri, Divina Commedia, Inferno, Canto XXVI, versi 118-120) This contribution contains the speech delivered by the author with the occasion of the Mini‐ symposium, organized in collaboration with D. Jou, M. S. Mongiovì and W. Muschik, as a part of the 2010 Conference of SIMAI (Italian Society of Applied and Industrial Mathematics), which was held between 21‐25 June in Cagliari, Sardegna, Italia. This Mini‐symposium, entitled "Recent Ideas in Non‐ Equilibrium Thermodynamics and Applications" was dedicated to the memory of Prof. Dr. Adelina Georgescu, co‐researcher and a great author’s friend. We dedicate this Mini-symposium, regarding the latest ideas in Non- Equilibrium Thermodynamics and Applications to physical-mathematical models of complex materials, to Prof. Adelina Georgescu, a member of the Scientists’ Academy of Romania, a great master and an eminent scientist. Her death, on May 1st 2010, leaves behind a very great emptiness in the field of Applied Mathematics and not less in the lives of those who knew and worked with her. I am deeply grateful for her very precious advices in the organization of my research and the very enlightening discussions and remarks regarding a lot of mathematical concepts and tools, with their practical applications in different fields of science. She was my great and unforgettable friend, invaluable guide and scientific collaborator. Since 2002 I invited her as visiting professor at the University of Messina for giving lectures and seminars on: Non-linear Dynamics, Bifurcation theory, Variational problems in Mathematical-Physics, Thermodynamics of fluids, Asymptotic methods with applications to waves and shocks, Complex fluid flows, Modeling in Meteorology, Turbulence, Modeling in cancer dynamics. I always thanked her for her profound participation and for her very precious contribution in spreading her research methodologies (a scientific literature on foundations and recent progress in Mathematical-Physics due to the Romanian and Russian schools) and, especially for her publications (very useful due to their synthetic style and clarity in explaining all concepts) at the University of Messina. Some of her books and publications have been already translated from Romanian to Italian, in order to be known in Italy for their invaluable qualities. v She also was a corresponding member